We consider the linear propagator for Schrödinger equations with variable coefficients in R^d. We show that it is bounded on some spaces arising in Time-frequency Analysis, known as modulation spaces. This generalizes recent results where the case of constant coefficients was considered.
Schrödinger equations in modulation spaces
CORDERO, Elena;RODINO, Luigi Giacomo
2013-01-01
Abstract
We consider the linear propagator for Schrödinger equations with variable coefficients in R^d. We show that it is bounded on some spaces arising in Time-frequency Analysis, known as modulation spaces. This generalizes recent results where the case of constant coefficients was considered.
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